Simplify the expression , where . The simplified form is __________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to simplify a radical expression by factoring the radicand and applying the properties of radicals.
Key Concept Explanation
To simplify , we need to factor the radicand into a product of a perfect square and another factor. The property is used to separate the perfect square part from the remaining factor.
Step-by-step Solution
1. Factor the radicand: , where .
2. Separate the perfect square part:
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